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Finding the Third Proportional to 9,212 and 11,658

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Solution

The third proportional to 9,212 and 11,658 is: 14,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212 : 11,658 = 11,658 : x
  2. Step 2: Convert to fraction form
    9,212/11,658 = 11,658/x
  3. Step 3: Cross multiply
    9,212x = 11,658 × 11,658
  4. Step 4: Simplify right side
    9,212x = 135,908,964
  5. Step 5: Solve for x
    x = 135,908,964/9,212
  6. Step 6: Final answer
    x = 14,753.47

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.